共查询到19条相似文献,搜索用时 187 毫秒
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在板的一阶Karman型精化理论的基础上,给出了适用于反对称铺层剪切矩形板的广义Karaman大挠度方程,并采用一种位移型摄动技术,求解了四边简支单向和双向压缩作用下的板的后屈曲平衡路径,讨论了板的横向剪切变形、宽厚比和材料特性对板的后屈曲性态的影响。 相似文献
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从矩形板的小挠度运动方程出发,通过引入膜力因子,给出四边固支矩形板在大挠度变形情况下的运动方程,分析矩形板大挠度塑性动力响应,并根据运动方程导出在矩形脉冲载荷作用下四边固支矩形板的运动微分方程,求解矩形板的最大残余变形计算式。同时,通过假设的应变率效应系数选取方法,解决大挠度加载情况下材料屈服应力的增加问题。使用有限元仿真手段验证了带有移行铰线的变形机构,对已有的实验样本和补充的有限元模型进行计算,并将计算出的理论结果与已有实验结果和有限元结果进行了比对,吻合较好。 相似文献
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利用解析法对加筋板稳定性进行了研究,忽略材料非线性的影响,利用理论方法求解四边简支加筋板的整体屈曲临界应力。对有一根加强筋的加筋板,定义板的挠曲函数,将其代入边界方程和协调方程,求解线性方程组的特征方程得到加筋板的临界应力。对有2根或多根加强筋的规则加筋板,利用能量法导出统一计算的公式得到临界应力。最后,利用有限元软件Abaqus和Nastran进行数值仿真,与理论解比较后得出本文计算方法是正确的,可以准确求解加筋板的稳定性问题。 相似文献
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弹性地基上四边自由矩形板问题的一种新型挠度函数 总被引:3,自引:0,他引:3
许多工程实际问题都可以抽象为搁置在弹性地基上的四边自由的矩形板问题,而弹性地基上四边自由矩形板问题的解析解,长期以来被认为是一个比较困难的问题。根据对矩形板解析解的研究,本文构造了一个包含三角函数和多项式组成的新的挠度函数,它满足四个自由边上全部边界条件和自由角点条件。基于这个新的挠度函数表达式,利用迦辽金方法本文导出了弹性地基上四边自由的矩形板弯曲、自由振动和稳定问题的解析解。通过文献中找到的两个算例,与有限元方法、有限差分法和其它文献中方法给出的计算结果进行了比较,结果吻合良好,证明了本文所给出的新型挠度函数是可以求解弹性地基上的四边自由矩形板问题的。这一新型挠度函数形式具有较广阔的工程应用前景。 相似文献
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目前,对加筋板稳定性的研究多采用有限元法,缺乏理论指导。本文忽略材料非线性的影响,利用理论方法求解四边简支加筋板的整体屈曲临界应力。对有单根加强筋的加筋板,首先假设板的挠曲函数,接着将其代入板和加强筋的边界方程和协调方程,最后解线性方程组的特征方程得到加筋板的临界应力计算公式。为了验证该公式正确与否,选取多个算例,利用有限元软件Abaqus和Nastran进行数值仿真,与理论解比较后得出本文推导的公式是正确的,并得出临界应力随γ和δ的变化趋势。 相似文献
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四边固定支承矩形薄板振动分析的有限积分变换法 总被引:1,自引:0,他引:1
利用双重有限余弦积分变换的方法推导出了四边固定支承条件下,矩形薄板的固有频率和振型的解析解表达式.由于在求解过程中不需要事先人为地选取挠度函数,而是从弹性薄板的基本振动方程出发,直接利用数学的方法求出可以完全满足四边固定支承的边界条件,弹性矩形薄板的固有频率和振型解析解,使得问题的求解更加合理化.最后,还给出了计算实例来验证文中所采用的方法以及所推导出的公式的正确性. 相似文献
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单向压力作用下有初挠度矩形板的有效宽度和减缩有效宽度 总被引:1,自引:0,他引:1
本文应用von-karman大挠度薄板方程,对承受单向面内压力的有初挠度矩形板进行后屈曲特性分析(其中挠曲函数取为双博氏级数展开式的前三项)。用参数摄动法求解非线性代数方程组,得到最大压应力与平均压应力之间,平均压应力与平均应变之间的显式函数表达式。进而推导出有初挠度矩形板的有效宽度和减缩有效宽度公式,并着重分析了两者的不同。 相似文献
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根据压电材料修正后的Hellinger-Reissner(H-R)变分原理,推导了各向异性压电材料Hamiltonian等参元的一般形式,应用该等参元分析了具有机电耦合效应的正交异性叠层板的自由振动问题.首先将叠层板的压电层和主体层看作独立的三维体,应用Hamiltonian等参元离散各层,分别建立了各层的方程;考虑到主体层和压电层连接界面上广义应力和广义位移的连续性,联立两者的方程得到整体结构的控制方程.以四边固支的矩形叠层板为例进行了的数值分析,并与有关文献的结果进行了比较. 相似文献
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取样条函数作为挠度试函数,运用加权残值法求得初缺陷矩形薄板动力屈曲的控制方程,采用四阶Runge-Kutta法求解该控制方程,并用Fortran语言编制了相应的计算程序。构造的B样条函数能适应板侧边上的任意弹性转动约束,讨论了初始几何缺陷、冲击载荷持续时间和弹性约束的影响。 相似文献
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The average stress–strain curve for rectangular plates under uniaxial compression in ship hull structures is generated on the basis of the existing design formulae. The dual-term equation for ultimate strength of uniaxially compressed plates is employed to generate the average stress–strain curve for long plates. Two alternatives proposed by Faulkner and Frankland, respectively, are considered. An approximate method to take into account the effect of residual stresses is proposed. By investigating the variation of the stress distribution at different stages of compression, the average stress–strain relationship of the rectangular long plates with the effect of residual stresses is derived from equilibrium. The behaviors of the wide plates are also discussed. The assumption proposed by Valsgard for the idealized stress distribution of wide plates under uniaxial compression is adopted. The average stress–strain relationship for wide plates is derived from the existing design formulae. Two equations proposed by Hughes and recommended by API for critical stress of the central portion of the wide plate are considered. The effect of residual stresses is also taken into account for wide plates. 相似文献
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Study on the dynamic response, and especially the nonlinear dynamic response of stiffened plates is complicated by their discontinuity and inhomogeneity. The finite element method (FEM) and the finite strip method are usually adopted in their analysis. Although many useful conclusions have been obtained, the computational cost is enormous. Based on some assumptions, the dynamic plastic response of clamped stiffened plates with large deflections was theoretically investigated herein by a singly symmetric beam model. Firstly, the deflection conditions that a plastic string must satisfy were obtained by the linearized moment-axial force interaction curve for singly symmetric cross sections and the associated plastic flow rule. Secondly, the possible motion mechanisms of the beam under different load intensity were analysed in detail. For structures with plastic deformations, a simplified method was then given that the arbitrary impact load can be replaced equivalently by a rectangular pulse. Finally, to confirm the validity of the proposed method, the dynamic plastic response of a one-way stiffened plate with four fully clamped edges was calculated. The theoretical results were in good agreement with those of FEM. It indicates that the present calculation model is easy and feasible, and the equivalent substitution of load almost has no influence on the final deflection. 相似文献
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基于Mindlin板理论,采用改进傅立叶级数的方法对任意弹性边界条件和耦合条件下的耦合板进行了振动分析。为建立通用的结构模型,在耦合板结构的耦合边上均匀布置六种类型线性约束弹簧模拟耦合条件,在非耦合边上布置五种类型的线性约束弹簧模拟边界条件。耦合板结构的弯曲振动位移函数和面内振动位移函数表示为标准的二维傅立叶余弦级数和辅助级数的线性组合,通过辅助级数的引入,解决了位移导数在边界不连续的问题。利用Hamilton原理建立求解方程,推导出中厚耦合板结构的振动控制方程的矩阵表达式,通过求解矩阵方程可以得到耦合板结构的固有频率和响应。通过数值仿真分析计算,并与有限元结果和实验进行比较,验证了该方法的准确性。 相似文献
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A three dimensional numerical model of nonlinear wave action on a quasi-ellipse caisson in a time domain was developed in this paper. Navier-Stokes equations were solved by the finite difference method, and the volume of fluid (VOF) method was employed to trace the free surface. The partial cell method was used to deal with the irregular boundary typical of this type of problem during first-time wave interaction with the structure, and a satisfactory result was obtained. The numerical model was verified and used to investigate the effects of the relative wave height H/d, relative caisson width kD, and relative length-width ratio B/D on the wave forces of the quasi-ellipse caisson. It was shown that the relative wave height H/d has a significant effect on the wave forces of the caisson. Compared with the non-dimensional inline wave force, the relative length-width ratio B/D was shown to have significant influence on the non-dimensional transverse wave force. 相似文献
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通过对桥梁防护装置研究,提出四棱柱式与双折叠式夹层板桥梁防护装置,采用ANSYS/LS-DYNA非线性有限元对其耐撞性能进行数值仿真,探讨两种夹层板防护装置的尺寸参数对其性能的影响.研究结果表明:经结构优化后四棱柱式夹层板的耐撞性能优于双折叠式;分别用两种夹层板替换传统钢质箱式防护装置的外围板,两种夹层板式防护装置的耐撞性能均优于传统钢质防护装置,而四棱柱式防护装置的性能最佳. 相似文献